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52338517506 = 232112111252777
BaseRepresentation
bin110000101111100111…
…100110011000000010
312000002120011011120100
4300233213212120002
51324142130030011
640013300023230
73531666026022
oct605747463002
9160076134510
1052338517506
1120218801950
12a188091b16
134c213ac9b2
142767147a82
151564d23d56
hexc2f9e6602

52338517506 has 48 divisors (see below), whose sum is σ = 124295622048. Its totient is φ = 15784977600.

The previous prime is 52338517453. The next prime is 52338517519. The reversal of 52338517506 is 60571583325.

52338517506 is a `hidden beast` number, since 52 + 3 + 3 + 85 + 17 + 506 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 584611 + ... + 668166.

It is an arithmetic number, because the mean of its divisors is an integer number (2589492126).

Almost surely, 252338517506 is an apocalyptic number.

52338517506 is an abundant number, since it is smaller than the sum of its proper divisors (71957104542).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52338517506 is a wasteful number, since it uses less digits than its factorization.

52338517506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253007 (or 1253004 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 52338517506 in words is "fifty-two billion, three hundred thirty-eight million, five hundred seventeen thousand, five hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 211 422 633 1266 1899 2321 3798 4642 6963 13926 20889 41778 1252777 2505554 3758331 7516662 11274993 13780547 22549986 27561094 41341641 82683282 124024923 248049846 264335947 528671894 793007841 1586015682 2379023523 2907695417 4758047046 5815390834 8723086251 17446172502 26169258753 52338517506